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Finding the Fourth Proportional to 6,141.61, 8,477.22 and 3,490.48

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Solution

The fourth proportional to 6,141.61, 8,477.22 and 3,490.48 is: 4,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.61 : 8,477.22 = 3,490.48 : x
  2. Step 2: Convert to fraction form
    6,141.61/8,477.22 = 3,490.48/x
  3. Step 3: Cross multiply
    6,141.61x = 8,477.22 × 3,490.48
  4. Step 4: Simplify right side
    6,141.61x = 29,589,566.87
  5. Step 5: Solve for x
    x = 29,589,566.87/6,141.61
  6. Step 6: Final answer
    x = 4,817.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.